Creator | Title | Description | Subject | Date | ||
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1 |
![]() | Wu, Yong-Shi | Anyons on a torus: braid group, Aharonov-Bohm period, and numerical study | We present a careful construction of anyons on a torus starting with the braid-group analysis. The rules of Wen, Dagotto, and Fradkin for putting anyons on a torus are reproduced with some minor improvements. The existence of noncontractible loops leads to braid-group representations characterized n... | Braid group; Magnetic flux | 1991-05 |
2 |
![]() | Wu, Yong-Shi | Braid group and anyons on a cylinder | In this paper we present a careful reexamination of anyons on a cylinder (or annulus), starting from the braid-group analysis. Proper attention is paid to the topological features arising from the existence of noncontractible loops. The rule for putting anyons on a square lattice has to be modified ... | Braid group; Annulus | 1991-02 |
3 |
![]() | Wu, Yong-Shi | Braid group, gauge invariance, and topological order | Topological order in two-dimensional systems is studied by combining the braid group formalism with a gauge invariance analysis. We show that flux insertions (or large gauge transformations) pertinent to the toroidal topology induce automorphisms of the braid group, giving rise to a unified algebrai... | Braid group; Topological order; Zero temperature; Two-dimensional systems | 2006-07 |